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Meshfree 3D Crack initiation, propagation, junction in non-linear materials: large strains, statics and dynamics without front enrichment A Lagrange multiplier method
Stéphane Bordas, Timon Rabczuk, Goangseup Zi

Meshfree 3D Crack initiation, propagation, junction in non-linear materials: large strains, statics and dynamics without front enrichment A Lagrange multiplier method

Science & Mathematics Published 2007 Verification Pending

Overview & Synopsis

We present in this paper a technique based on Lagrange multipliers to close the cracks along their fronts when analyzing three-dimensional fracture mechanics problems in statics and dynamics with the enriched element-free Galerkin (EFG) method. This Lagrange multiplier field avoids the use of near-tip enrichment, thereby only requiring discontinuous enrichment to account for the presence of the cracks. We show that the methodology performs quite well, even for very large strains and fragmentation.

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Document Information

Document Title Meshfree 3D Crack initiation, propagation, junction in non-linear materials: large strains, statics and dynamics without front enrichment A Lagrange multiplier method
Author / Organization Stéphane Bordas, Timon Rabczuk, Goangseup Zi
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2007
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-30441
Original Source Link Visit Source Page on hal.science »